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Finding the Fourth Proportional to 6,014.24, 8,299.37 and 3,361.63

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Solution

The fourth proportional to 6,014.24, 8,299.37 and 3,361.63 is: 4,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.24 : 8,299.37 = 3,361.63 : x
  2. Step 2: Convert to fraction form
    6,014.24/8,299.37 = 3,361.63/x
  3. Step 3: Cross multiply
    6,014.24x = 8,299.37 × 3,361.63
  4. Step 4: Simplify right side
    6,014.24x = 27,899,352.87
  5. Step 5: Solve for x
    x = 27,899,352.87/6,014.24
  6. Step 6: Final answer
    x = 4,638.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.